Question

Need Chi-Square Test for Independence to determine if eating healthy and exercising reduces diastolic blood pressure.

Day	BP Diastolic	Ate Healthy and Exercised
1	85	N
2	109	N
3	96	N
4	92	N
5	99	N
6	98	N
7	102	Y
8	93	N
9	90	Y
10	84	N
11	90	N
12	86	N
13	81	N
14	77	Y
15	90	Y
16	86	Y
17	83	N
18	80	Y
19	78	N
20	74	Y
21	72	Y
22	79	Y
23	84	Y
24	91	Y
25	85	Y
26	77	Y
27	78	Y
28	81	N
29	88	Y
30	85	Y
31	77	Y
32	74	Y
33	72	Y
34	77	N
35	80	Y
36	81	Y
37	76	Y
38	78	Y
39	72	Y
40	73	Y
41	72	Y
42	79	Y
43	80	Y
44	84	Y
45	81	Y
46	78	Y
47	71	Y
48	73	Y
49	76	Y
50	75	Y
51	76	N
52	81	Y
53	78	N
54	75	Y
55	77	Y
56	76	Y

Answer 1

The hypothesis being tested is:

H0: Eating healthy and exercising and diastolic blood pressure are independent

Ha: Eating healthy and exercising and diastolic blood pressure are not independent

		Yes	No	Total
Eating Healthy	Observed	16	4	20
	Expected	13.93	6.07	20.00
	O - E	2.07	-2.07	0.00
	(O - E)² / E	0.31	0.71	1.01
Lower BP Diastolic	Observed	23	13	36
	Expected	25.07	10.93	36.00
	O - E	-2.07	2.07	0.00
	(O - E)² / E	0.17	0.39	0.56
Total	Observed	39	17	56
	Expected	39.00	17.00	56.00
	O - E	0.00	0.00	0.00
	(O - E)² / E	0.48	1.10	1.58
		1.58	chi-square
		1	df
		.2090	p-value

Since the p-value (0.2090) is greater than the significance level (0.05), we cannot reject the null hypothesis.

Therefore, we can conclude that ating healthy and exercising and diastolic blood pressure are independent.